Solve the problem.
-The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 26 people who have written in to the show. If the participants are selected randomly, what is the probability that the 5 youngest people will be selected?
A) $\frac { 4 } { 13 }$
B) $\frac { 1 } { 7,893,600 }$
C) $\frac { 1 } { 120 }$
D) $\frac { 1 } { 65,780 }$

Question

Solve the problem.
-The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 26 people who have written in to the show. If the participants are selected randomly, what is the probability that the 5 youngest people will be selected? 
A) $\frac { 4 } { 13 }$
B) $\frac { 1 } { 7,893,600 }$
C) $\frac { 1 } { 120 }$
D) $\frac { 1 } { 65,780 }$

Quizplus · Accepted Answer

The probability is calculated using combinations. The total number of ways to select 5 people out of 26 is $C(26, 5)$. There is only 1 way to select the 5 youngest out of the 26. Thus, the probability is $\frac{1}{C(26, 5)} = \frac{1}{65,780}$.

Solve the Problem 413\frac { 4 } { 13 }134​ B) 17,893,600\frac { 1 } { 7,893,600 }7,893,6001​

Solve the Problem $\frac { 4 } { 13 }$ B) $\frac { 1 } { 7,893,600 }$